= Magnus expansion
{wiki=Magnus_expansion}
The Magnus expansion is a mathematical technique used in the field of differential equations and quantum mechanics to solve time-dependent problems involving linear differential equations. Specifically, it is often applied to systems governed by operators that evolve in time, which is particularly relevant in quantum mechanics for the evolution of state vectors and operators. In essence, the Magnus expansion provides a way to express the time-evolution operator \\( U(t) \\), which describes how a state changes over time under the influence of a Hamiltonian or other operator.
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